8,729,992

2³ × 181 × 6029

8,729,992 factors as 2^3 × 181 × 6029. Its 16 positive divisors give a proper-divisor sum of 7,731,908, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 181 × 6029

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,461,900

Proper Divisor Sum 7,731,908

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #8729983 ← → #8729999

Radix Representation

Decimal	8729992
Binary	100001010011010110001000 (24 bits)
Octal	0o41232610
Hexadecimal	0x853588

Divisor Catalog (16)

1 2 4 8 181 362 724 1,448 6,029 12,058 24,116 48,232 1,091,249 2,182,498 4,364,996 8,729,992

Collatz Trajectory (181 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,729,992 4,364,996 2,182,498 1,091,249 3,273,748 1,636,874 818,437 2,455,312 1,227,656 613,828 306,914 153,457 460,372 230,186 115,093 345,280 172,640 86,320 43,160 21,580 10,790 5,395 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257

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